Some Serrin type blow-up criteria for the three-dimensional viscous compressible flows with large external potential force
Analysis of PDEs
2021-10-19 v2
Abstract
We provide a Serrin type blow-up criterion for the 3-D viscous compressible flows with large external potential force. For the Cauchy problem of the 3-D compressible Navier-Stokes system with potential force term, it can be proved that the strong solution exists globally if the velocity satisfies the Serrin's condition and the sup-norm of the density is bounded. Furthermore, in the case of isothermal flows with no vacuum, the Serrin's condition on the velocity can be removed from the claimed criterion.
Keywords
Cite
@article{arxiv.2011.14581,
title = {Some Serrin type blow-up criteria for the three-dimensional viscous compressible flows with large external potential force},
author = {Anthony Suen},
journal= {arXiv preprint arXiv:2011.14581},
year = {2021}
}
Comments
Some typos and errors are being fixed